If 0 < b < 1 and a > 0, how does a × b compare with a?
Reveal answer & explanation
It is positive and less than a. For example, multiplying by 0.4 keeps four tenths of the starting amount.
ACCUPLACER Math Flashcards & Study Review
Recall first, then reveal the answer. Browse 12 sample cards below, or use spaced review to save your personal review schedule.
Build selected Arithmetic, QAS and AAF placement foundations. Selected foundations; check coverage for the full scope.
18 cards due or new · Ready when you are
Version 2026-11-04-r02 · Original foundation materials · No sign-up
Browse sample cards
Try recalling the idea before revealing it. Browsing these examples does not change your saved review schedule.
Learn: Number sense, fractions, decimals, and percents
A value changes from a positive starting value S to E. What denominator belongs in its percent-change fraction?
Reveal answer & explanation
Use S. Divide E − S by S and express the result as a percent.
What two equations follow from u² = c when c > 0?
Reveal answer & explanation
Use u = √c and u = −√c. Both numbers square to c.
In a cost model C = 14 + 2.50m with miles m, what does 14 measure?
Reveal answer & explanation
It is the initial cost in dollars when m = 0.
After canceling a factor from a quotient, what happens to an input that made the original denominator zero?
Reveal answer & explanation
It stays excluded from the original domain. Cancellation is valid only where the canceled factor is nonzero.
You select uniformly from one row of a count table. What denominator should a probability use?
Reveal answer & explanation
Use the total of that selected row. Each entry outside the row is excluded from the sample space.
When adding 2/7 and 1/3, why can you use denominator 21?
Reveal answer & explanation
Both fractions can be renamed in twenty-firsts, so the numerators count equal-sized parts.
A decimal divisor is 0.08. If you multiply it by 100 before dividing, what do you do to the dividend?
Reveal answer & explanation
Multiply the dividend by 100 as well. Scaling both numbers equally preserves the quotient.
A total of $13.20 covers six items. Which division gives the price per item?
Reveal answer & explanation
Divide $13.20 by 6 to get $2.20 per item.
Can a relationship with a nonzero starting charge be directly proportional to the number of items?
Reveal answer & explanation
No. A direct proportion has zero output at zero input. A fixed starting charge gives a nonzero intercept.
If the input changes by 5 and the output changes by −15, what is the slope?
Reveal answer & explanation
Slope is output change divided by input change, so −15/5 = −3.
What equation finds the input where two linear cost rules A(x) and B(x) agree?
Reveal answer & explanation
Set A(x) = B(x) and solve for the shared input x.
Use the cards as a recall routine
- Read the prompt and explain your answer before looking below it.
- Compare your reasoning with the saved answer, then revisit the linked lesson if a distinction is unclear.
- Use the spaced-review tool to schedule another attempt; its personal state stays in your browser.
Coverage, sources & review status
What this collection covers
Selected Arithmetic, QAS, and AAF foundations for college math placement..
The cards preview selected ideas; they do not measure readiness for the whole examination. Your personal review schedule is available in the review tool.
Author-reviewed learning materials. Independent educator review is pending; question difficulty has not been calibrated with learner results. Check coverage and gaps before planning your preparation.
Sources and preparation route
These prompts and explanations are the site's original learning materials. The reference links below support the selected skills; they are not endorsements or official examination questions.